# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))=>s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X1)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))),file('i/f/frac/FRAC__ABS__SGN', ch4s_fracs_FRACu_u_ABSu_u_SGN)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/frac/FRAC__ABS__SGN', aHLu_FALSITY)).
fof(4, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/frac/FRAC__ABS__SGN', aHLu_BOOLu_CASES)).
fof(6, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/frac/FRAC__ABS__SGN', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(13, axiom,![X5]:![X3]:![X4]:s(X5,h4s_bools_cond(s(t_bool,t),s(X5,X4),s(X5,X3)))=s(X5,X4),file('i/f/frac/FRAC__ABS__SGN', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(14, axiom,![X5]:![X3]:![X4]:s(X5,h4s_bools_cond(s(t_bool,f),s(X5,X4),s(X5,X3)))=s(X5,X3),file('i/f/frac/FRAC__ABS__SGN', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(20, axiom,![X13]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X13)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X13))),file('i/f/frac/FRAC__ABS__SGN', ah4s_integers_INTu_u_ABSu_u_NUM)).
fof(21, axiom,![X6]:?[X15]:((p(s(t_bool,X15))<=>s(t_h4s_integers_int,X6)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))&s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,X6)))=s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,X15),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))))),file('i/f/frac/FRAC__ABS__SGN', ah4s_intExtensions_SGNu_u_def)).
fof(22, axiom,![X16]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X16)))))=s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X16))),file('i/f/frac/FRAC__ABS__SGN', ah4s_integers_INTu_u_ABSu_u_NEG)).
fof(23, axiom,![X1]:s(t_h4s_integers_int,h4s_fracs_fracu_u_sgn(s(t_h4s_fracs_frac,X1)))=s(t_h4s_integers_int,h4s_intextensions_sgn(s(t_h4s_integers_int,h4s_fracs_fracu_u_nmr(s(t_h4s_fracs_frac,X1))))),file('i/f/frac/FRAC__ABS__SGN', ah4s_fracs_fracu_u_sgnu_u_def)).
# SZS output end CNFRefutation
